Q: What are the prime factors of the number 62,462,176?

 A: 2, 7, 278849

Why are those the prime factors of the number 62,462,176?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 62,462,176

62,462,176
Factor Arrows
231,231,088
Factor Arrows
215,615,544
Factor Arrows
27,807,772
Factor Arrows
23,903,886
Factor Arrows
21,951,943
Factor Arrows
7278,849

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 7, 278849

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 278,849 = 62,462,176

This can also be written as 25 x 71 x 278,8491 = 62,462,176

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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